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Generalized Uncertainty Principle Corrections to the Simple Harmonic Oscillator in Phase Space

General Relativity and Quantum Cosmology 2016-01-28 v3 High Energy Physics - Theory Quantum Physics

Abstract

We compute Wigner functions for the harmonic oscillator including corrections from generalized uncertainty principles (GUPs), and study the corresponding marginal probability densities and other properties. We show that the GUP corrections to the Wigner functions can be significant, and comment on their potential measurability in the laboratory.

Keywords

Cite

@article{arxiv.1412.6467,
  title  = {Generalized Uncertainty Principle Corrections to the Simple Harmonic Oscillator in Phase Space},
  author = {Saurya Das and Matthew P. G. Robbins and Mark A. Walton},
  journal= {arXiv preprint arXiv:1412.6467},
  year   = {2016}
}

Comments

minor revisions; included journal reference